Answer
The distance between A and B is about $264.4\text{ yards}$
Work Step by Step
Let us suppose c to be the distance from A to B.
Now to find the angle B we will use the sum of angles property.
$B=180{}^\circ -62{}^\circ -53{}^\circ =65{}^\circ $
Using the law of sines we will find c.
$\begin{align}
& \frac{c}{\sin C}=\frac{b}{\sin B} \\
& \frac{c}{\sin 53{}^\circ }=\frac{300}{\sin 65{}^\circ } \\
& c=\frac{300\sin 53{}^\circ }{\sin 65{}^\circ } \\
& \approx 264.4
\end{align}$
Therefore, the distance between A and B is about $264.4\text{ yards}$.
